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8332418952 = 233211136113267
BaseRepresentation
bin1111100001010011…
…01001111110001000
3210111200220201222100
413300221221332020
5114031044401302
63454452353400
7413325251424
oct76051517610
923450821870
108332418952
113596484760
121746615860
13a2a381c20
145908b9b84
1533b7aed1c
hex1f0a69f88

8332418952 has 192 divisors, whose sum is σ = 26948900160. Its totient is φ = 2292364800.

The previous prime is 8332418951. The next prime is 8332418953. The reversal of 8332418952 is 2598142338.

It is an interprime number because it is at equal distance from previous prime (8332418951) and next prime (8332418953).

It is a junction number, because it is equal to n+sod(n) for n = 8332418898 and 8332418907.

It is not an unprimeable number, because it can be changed into a prime (8332418951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621423 + ... + 634689.

It is an arithmetic number, because the mean of its divisors is an integer number (140358855).

Almost surely, 28332418952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8332418952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13474450080).

8332418952 is an abundant number, since it is smaller than the sum of its proper divisors (18616481208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8332418952 is a wasteful number, since it uses less digits than its factorization.

8332418952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13364 (or 13357 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 8332418952 is about 91282.0845073117. The cubic root of 8332418952 is about 2027.3265097859.

The spelling of 8332418952 in words is "eight billion, three hundred thirty-two million, four hundred eighteen thousand, nine hundred fifty-two".